Assuming by "Floyd", you mean 'locking tremolo', I have some experience with one on a friend's guitar, and from how much of a PITA it was for me, a total novice, to change his strings, and compared to my EBMM guitars, that all have full-floating, non-locking trems..., I can literally go nuts on the trem on any of them, and only 1 doesn't come back in tune, and that's because 1 string is hanging up somewhere. I'm sure I could get that one to retain its tuning too, but I just don't bother with it.
The Majesties and my JP all have roller saddles, and my JR Cutlass has a rounded saddle of some type, so I'd imagine that helps, along with a properly-cut nut, locking tuners, and using lube on the saddles & nut slots when I change strings.
So my stance is, unless you gig and play like EVH, I don't think the juice is worth the squeeze.